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Finding the Fourth Proportional to 652,078.56, 978,005.70 and 172,311.60

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Solution

The fourth proportional to 652,078.56, 978,005.70 and 172,311.60 is: 258,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,078.56 : 978,005.70 = 172,311.60 : x
  2. Step 2: Convert to fraction form
    652,078.56/978,005.70 = 172,311.60/x
  3. Step 3: Cross multiply
    652,078.56x = 978,005.70 × 172,311.60
  4. Step 4: Simplify right side
    652,078.56x = 168,521,726,976.12
  5. Step 5: Solve for x
    x = 168,521,726,976.12/652,078.56
  6. Step 6: Final answer
    x = 258,437.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.